in a mathematics class, there are 56 students. there are 14 more girls than boys. how many boys are there?

There are 21 boys in the class.

Step-by-step explanation

Let:

• bbb = number of boys
• ggg = number of girls

From the problem:

1. Total students:
   b+g=56b+g=56b+g=56

2. There are 14 more girls than boys:
   g=b+14g=b+14g=b+14

Substitute ggg into the first equation:

• b+(b+14)=56b+(b+14)=56b+(b+14)=56
• 2b+14=562b+14=562b+14=56
• 2b=56−14=422b=56-14=422b=56−14=42
• b=42÷2=21b=42\div 2=21b=42÷2=21

So:

• Boys = 21
• Girls = 21+14=3521+14=3521+14=35, and 21+35=5621+35=5621+35=56, which fits the total.

Answer: 21 boys.